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index 0000000..cbd3efa --- /dev/null +++ b/statics/physics/modern-phys-lab/diffraction.py @@ -0,0 +1,58 @@ +import numpy as np +import matplotlib.pyplot as plt + +# Current units: pixels +# Format: d[0 = small, 1 = large][voltage][0 = inner, 1 = outer] +diameter_measured = np.array([ + [[570, 646], [567, 725], [623, 750], [730, 866], [800, 962], [861, 1051]], + [[968, 1090], [1034, 1147], [1036, 1183], [1311, 1461], [1405, 1624], [1476, 1600]] +]) +diameter_error = 100 + +voltages = np.array(np.arange(5000, 2500 - 1, -500)) #-1 to include 2500 +voltages_inv_sqrt = 1 / np.sqrt(voltages) + +# New units: m +diameter_measured = diameter_measured / 19440 +diameter_measured_error = 100 / 19440 + +# Average inner and outer +# New format: d[0 = small, 1 = large][voltage] +diameter_measured = np.average(diameter_measured, axis=2) + +# Find actual diameter +L = 138 / 1000 +r = 63 / 1000 +diameter_actual = L * diameter_measured / (r + np.sqrt(r**2 - diameter_measured**2 / 4)) +diameter_actual_error = (((L * (r + np.sqrt(r**2 - diameter_measured**2 / 4)) + diameter_measured**2 / (2 * np.sqrt(r**2 - diameter_measured**2 / 4)) / 2 * L)/ (r + np.sqrt(r**2 - diameter_measured**2 / 4))**2) * diameter_measured_error) + +fig, axs = plt.subplots(len(diameter_measured), 2, sharex='all') +fig.tight_layout() +for size in range(len(diameter_measured)): + ax = axs[size][0] + size_name = 'small' if size == 0 else 'large' + + ax.set_xlabel(r'$1/\sqrt{U_0}$') + ax.set_ylabel(f'$D_M$ ({size_name}) (meters)') + ax.set_title(r'$1/\sqrt{U_0}$ ' + f'vs $D_M$ ({size_name})') + #ax.scatter(voltages_inv_sqrt, diameter_measured[size], label='Data') + ax.errorbar(voltages_inv_sqrt, diameter_measured[size], fmt='o', yerr=diameter_measured_error, capsize=5) + + # Trendlines + line = np.polynomial.Polynomial.fit(voltages_inv_sqrt, diameter_measured[size], deg=1) + ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label='Trendline', linestyle='--', color='purple') + ax.legend() + + ax=axs[size][1] + ax.set_xlabel(r'$1/\sqrt{U_0}$') + ax.set_ylabel(f'$D_E$ ({size_name}) (meters)') + ax.set_title(r'$1/\sqrt{U_0}$ ' + f'vs $D_E$ ({size_name})') + #ax.scatter(voltages_inv_sqrt, diameter_measured[size], label='Data') + ax.errorbar(voltages_inv_sqrt, diameter_actual[size], fmt='o', yerr=diameter_actual_error, capsize=5) + + # Trendlines + line = np.polynomial.Polynomial.fit(voltages_inv_sqrt, diameter_actual[size], deg=1) + ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label='Trendline', linestyle='--', color='purple') + ax.legend() + +plt.show() \ No newline at end of file diff --git a/statics/physics/modern-phys-lab/run.py b/statics/physics/modern-phys-lab/plancke.py similarity index 100% rename from statics/physics/modern-phys-lab/run.py rename to statics/physics/modern-phys-lab/plancke.py